λ
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Atlas › Integer Profiles › Node 55,517,206

55,517,206

2 × 17 × 83 × 103 × 191
Deficient Even Composite

55,517,206 factors as 2 × 17 × 83 × 103 × 191. Its 32 positive divisors give a proper-divisor sum of 35,057,642, so this integer is deficient. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 17 × 83 × 103 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,574,848
Proper Divisor Sum 35,057,642
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #55517179 ← → #55517213

Radix Representation

Decimal 55517206
Binary 11010011110010000000010110 (26 bits)
Octal 0o323620026
Hexadecimal 0x34F2016

Divisor Catalog (32)

1 2 17 34 83 103 166 191 206 382 1,411 1,751 2,822 3,247 3,502 6,494 8,549 15,853 17,098 19,673 31,706 39,346 145,333 269,501 290,666 334,441 539,002 668,882 1,632,859 3,265,718 27,758,603 55,517,206

Collatz Trajectory (300 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

55,517,206 27,758,603 83,275,810 41,637,905 124,913,716 62,456,858 31,228,429 93,685,288 46,842,644 23,421,322 11,710,661 35,131,984 17,565,992 8,782,996 4,391,498 2,195,749 6,587,248 3,293,624 1,646,812 823,406 411,703 1,235,110 617,555 1,852,666 926,333 2,779,000 1,389,500 694,750 347,375 1,042,126 521,063 1,563,190 781,595 2,344,786 1,172,393 3,517,180 1,758,590 879,295 2,637,886 1,318,943 3,956,830 1,978,415 5,935,246 2,967,623 8,902,870 4,451,435 13,354,306 6,677,153 20,031,460 10,015,730 5,007,865 15,023,596 7,511,798 3,755,899 11,267,698 5,633,849 16,901,548 8,450,774 4,225,387 12,676,162

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